Which finite simple groups are unit groups?

DOI10.1016/j.jpaa.2013.08.013zbMath1290.16038arXiv1409.7518OpenAlexW1975075018MaRDI QIDQ392500

Tommy Occhipinti, Christopher Davis

Publication date: 14 January 2014

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1409.7518

zbMATH Keywords

finite groupsfinite simple groupsfinite general linear groupsunit groups of rings

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Modular representations and characters (20C20) Finite simple groups and their classification (20D05) Units, groups of units (associative rings and algebras) (16U60)

Related Items

Fuchs' problem for dihedral groups, How Many Units Can a Commutative Ring Have?, Fuchs' problem for 2-groups, The isomorphism problem for group algebras: a criterion, Fuchs' problem for endomorphisms of abelian groups, Is there an infinite field whose multiplicative group is indecomposable?, Finitely generated abelian groups of units, Fuchs' problem for \(p\)-groups

Cites Work

• Unnamed Item
• The Finite Simple Groups
• WHICH ALTERNATING AND SYMMETRIC GROUPS ARE UNIT GROUPS?
• On the Group of Units of a Ring